85729161 has 16 divisors (see below), whose sum is σ = 132105600. Its totient is φ = 48436608.

The previous prime is 85729157. The next prime is 85729169. The reversal of 85729161 is 16192758.

It is not a de Polignac number, because 85729161 - 2² = 85729157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85729169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21066 + ... + 24803.

It is an arithmetic number, because the mean of its divisors is an integer number (8256600).

Almost surely, 2^85729161 is an apocalyptic number.

It is an amenable number.

85729161 is a deficient number, since it is larger than the sum of its proper divisors (46376439).

85729161 is a wasteful number, since it uses less digits than its factorization.

85729161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45968.

The product of its digits is 30240, while the sum is 39.

The square root of 85729161 is about 9259.0043201200. The cubic root of 85729161 is about 440.9366428075.

The spelling of 85729161 in words is "eighty-five million, seven hundred twenty-nine thousand, one hundred sixty-one".